<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0202</schemaVersion>

    <documentType>4/A</documentType>

    <periodOfReport>2007-01-03</periodOfReport>

    <dateOfOriginalSubmission>2007-01-03</dateOfOriginalSubmission>

    <notSubjectToSection16>false</notSubjectToSection16>

    <issuer>
        <issuerCik>0001318084</issuerCik>
        <issuerName>Core-Mark Holding Company, Inc.</issuerName>
        <issuerTradingSymbol>CORE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001338381</rptOwnerCik>
            <rptOwnerName>Antholzner Gregory P</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>395 OYSTER POINT BLVD., SUITE 415</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SOUTH SAN FRANCISCO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94080</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>false</isDirector>
            <isOfficer>true</isOfficer>
            <isTenPercentOwner>false</isTenPercentOwner>
            <isOther>false</isOther>
            <officerTitle>VP of Finance and Control</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Coremark Common Stock</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2007-01-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>false</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>500</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>32.161</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">None of the transactions reported in the previous Form 4 filed on January 3, 2007 have been amended or changed.  This transaction is being repeated in this Amendment solely to allow the filing of a new Exhibit 24 Power of Attorney inadvertently left out of the previous filing.</footnote>
        <footnote id="F2">Sold per Sec. 10b5-1program</footnote>
    </footnotes>

    <remarks>This Amendment to the Form 4 filed on January 3, 2007 is being filed soley to include the new Exhibit 24 Power of Attorney.  None of the transactions previously reported have been amended or changed.

Exhibit List:
Exhibit 24 - Power of Attorney</remarks>

    <ownerSignature>
        <signatureName>Tina Peoples, POA</signatureName>
        <signatureDate>2007-01-17</signatureDate>
    </ownerSignature>
</ownershipDocument>
